Details

sample225.0ms

Algorithm

intervals

Results

71.0ms	99×	body	1280	valid
28.0ms	53×	body	640	valid
18.0ms	32×	body	640	nan
16.0ms	32×	body	10240	exit
15.0ms	163×	body	80	valid
14.0ms	20×	body	1280	nan
12.0ms	190×	body	80	nan
8.0ms	24×	body	320	valid
3.0ms	8×	body	320	nan
2.0ms	12×	body	160	valid
2.0ms	9×	body	160	nan

simplify211.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.8b

localize58.0ms

Local error

Found 3 expressions with local error:

0.2b	(pow (+ x 1.0) (/ 1.0 n))
0.2b	(pow x (/ 1.0 n))
1.4b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`pow-unpow`
19×	`add-cube-cbrt`
18×	`times-frac`
17×	`unpow-prod-down`
9×	`difference-of-squares`
8×	`sqr-pow`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`add-cbrt-cube` `distribute-lft-out--`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 79

Calls

3 calls:

11.0ms	(pow (+ x 1.0) (/ 1.0 n))
4.0ms	(pow x (/ 1.0 n))
96.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series702.0ms

Counts

3 → 9

Calls

3 calls:

247.0ms	(pow (+ x 1.0) (/ 1.0 n))
94.0ms	(pow x (/ 1.0 n))
361.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify120.0ms

Counts: 88 → 88

prune407.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 17.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (+ x 1.0) (/ 1.0 n))
0.2b	(pow x (/ 1.0 n))
0.2b	(pow x (/ 1.0 n))
1.4b	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
39×	`pow-unpow` `*-un-lft-identity`
30×	`sqrt-prod`
28×	`add-cube-cbrt`
27×	`times-frac`
22×	`unpow-prod-down`
16×	`difference-of-squares`
11×	`sqr-pow`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube` `distribute-lft-out--`
3×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`
2×	`distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 114

Calls

4 calls:

27.0ms	(pow (+ x 1.0) (/ 1.0 n))
9.0ms	(pow x (/ 1.0 n))
9.0ms	(pow x (/ 1.0 n))
164.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))

series906.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(pow (+ x 1.0) (/ 1.0 n))
88.0ms	(pow x (/ 1.0 n))
109.0ms	(pow x (/ 1.0 n))
483.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))

simplify61.0ms

Counts: 126 → 126

prune801.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 17.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (+ x 1.0) (/ 1.0 n))
0.2b	(pow x (/ 1.0 n))
0.2b	(pow x (/ 1.0 n))
1.4b	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
39×	`pow-unpow` `*-un-lft-identity`
30×	`sqrt-prod`
28×	`add-cube-cbrt`
27×	`times-frac`
22×	`unpow-prod-down`
16×	`difference-of-squares`
11×	`sqr-pow`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube` `distribute-lft-out--`
3×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`
2×	`distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 114

Calls

4 calls:

20.0ms	(pow (+ x 1.0) (/ 1.0 n))
8.0ms	(pow x (/ 1.0 n))
8.0ms	(pow x (/ 1.0 n))
134.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))

series1.0s

Counts

4 → 12

Calls

4 calls:

215.0ms	(pow (+ x 1.0) (/ 1.0 n))
118.0ms	(pow x (/ 1.0 n))
79.0ms	(pow x (/ 1.0 n))
604.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))

simplify42.0ms

Counts: 126 → 126

prune754.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 17.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow x (/ 1.0 n))
1.4b	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))
1.4b	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))
1.4b	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))

rewrite442.0ms

Algorithm

rewrite-expression-head

Rules

90×	`sqrt-prod`
84×	`add-sqr-sqrt`
48×	`difference-of-squares`
39×	`unpow-prod-down` `*-un-lft-identity`
25×	`sqr-pow`
13×	`pow-unpow`
12×	`add-cube-cbrt` `distribute-lft-out--`
10×	`add-log-exp`
9×	`times-frac`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`

Counts

4 → 123

Calls

4 calls:

8.0ms	(pow x (/ 1.0 n))
141.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))
143.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))
140.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))

series1.8s

Counts

4 → 12

Calls

4 calls:

97.0ms	(pow x (/ 1.0 n))
581.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))
618.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))
552.0ms	(- (sqrt (pow (+ x 1.0) (/ 1.0 n))) (sqrt (pow x (/ 1.0 n))))

simplify122.0ms

Counts: 135 → 135

prune940.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 17.1b

regimes364.0ms

Accuracy

82.7% (1.5b remaining)

Error of 22.2b against oracle of 20.7b and baseline of 29.5b

bsearch2.0ms

simplify134.0ms

end0.0ms

sample8.3s

Algorithm

intervals

Results

2.6s	3202×	body	1280	valid
1.2s	1124×	body	10240	exit
935.0ms	1521×	body	640	valid
910.0ms	4736×	body	80	valid
504.0ms	680×	body	1280	nan
431.0ms	4932×	body	80	nan
409.0ms	652×	body	640	nan
334.0ms	884×	body	320	valid
110.0ms	332×	body	320	nan
95.0ms	406×	body	160	valid
35.0ms	191×	body	160	nan